# Observe the Information Shown in Pair of Triangle Given Below. State the Test by Which the Two Triangles Are Congruent. - Geometry

Sum

Observe the information shown in pair of triangle given below. State the test by which the two triangles are congruent. Write the remaining congruent parts of the triangles.

From the information shown in the figure,

in ΔPTQ and Δ STR

seg PT ≅  seg ST

∠ PTQ  ≅ ∠ STR   ....Vertically opposite angles

∴ Δ PTQ  ≅ Δ STR  .... _____ test

∴ ∠ TPQ ≅ _____  and  ____ ≅ ∠ TRS  .....corresponding angles of congruent triangles

seg PQ ≅ ______ corresponding sides of congruent triangles

#### Solution

From the information shown in the figure,
in Δ PTQ and Δ STR
seg PT ≅ seg ST
∠ PTQ  ≅ ∠ STR   ....Vertically opposite angles
∠ PTQ ≅ ∠ STR  .... SAS test
∴ ∠ TPQ ≅ ∠ TSR  and  ∠TQP  ≅ ∠ TRS  .....corresponding angles of congruent triangles
seg PQ ≅ seg SR        corresponding sides of congruent triangles
Is there an error in this question or solution?

#### APPEARS IN

Balbharati Mathematics 2 Geometry 9th Standard Maharashtra State Board
Chapter 3 Triangles
Practice Set 3.2 | Q 2.2 | Page 32